Problem 2: An object rolls off a tabletop with a horizontal velocity vox = 12 m/s. The table is at a height yo = 1.7 m, above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath the object's trajectory, and its vertical y- axis pointing up. Part (a) How long, in seconds, is the object falling before it hits the floor? Numeric :A numeric value is expected and not an expression. t =

You buy a plastic dart gun, and being a clever physics student you decide to do a quick calculation to find its maximum horizontal range. You shoot the gun straight up, and it takes 4.2 s for the dart to land back at the barrel. What is the maximum possible horizontal range that could be achieved by your gun, assuming the dart lands at the same level it started?

An object rolls off a tabletop with a horizontal velocity v0x = 1.6 m/s. The table is at a height y0 = 0.35 m, above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath the object’s trajectory, and its ve rtical y-axis pointing up.                  1. How long in seconds, is the object falling before it hits the floor?  2. What's the horizontal distance, in meters, from the edge of the tabletop to where the object lands?

An object is located initially at an origin. It has acceleration 3.00 m/s2, 90° and velocity 5.00 m/s, 0°. Determine the position (x, y) and the velocity (magnitude and direction) for times 1.00 s, 2.00 s and 3.00 s. Graph the position on an x-y coordinate plane for these times. Include the velocities and acceleration.

A rocket is launched from the ground at a 75 degree angle from the horizontal. The rocket’s acceleration is 23 m/s2 throughout the engine’s burn, maintaining the rocket’s angle with the horizontal. Unfortunately, the engine fails after 12 sec, leaving the rocket as a simple projectile. a) What is the highest height the rocket achieves?  b) What is the final range (how far from the launch point does the rocket land)? c) What is the time from launch to touch down?

A particle moves horizontally in uniform circular motion, over a horizontal xy plane. At one instant, it moves through the point at coordinates ( 4.80 m, 4.00 m) with a velocity of – 3.50  i^ m/s and an acceleration of + 10.9  j^ m/s2. What are the (a) x and (b) y coordinates of the center of the circular path?

A space vehicle is coasting at a constant velocity of 17.8 m/s in the +y direction relative to a space station. The pilot of the vehicle fires a RCS (reaction control system) thruster, which causes it to accelerate at 0.280 m/s2 in the +x direction. After 33.6 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find (a) the magnitude and (b) the direction of the vehicle's velocity relative to the space station. Express the direction as an angle (in degrees) measured from the +y direction.